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Finding the Fourth Proportional to 280.46, 387.31 and 182.41

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Solution

The fourth proportional to 280.46, 387.31 and 182.41 is: 251.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.46 : 387.31 = 182.41 : x
  2. Step 2: Convert to fraction form
    280.46/387.31 = 182.41/x
  3. Step 3: Cross multiply
    280.46x = 387.31 × 182.41
  4. Step 4: Simplify right side
    280.46x = 70,649.22
  5. Step 5: Solve for x
    x = 70,649.22/280.46
  6. Step 6: Final answer
    x = 251.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.